Dana and Mike own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlights ordered was five times the number of sleeping bags. the flashlights cost $12 each and the sleeping bags cost $45 each. If the total cost for the flashlights and sleeping bags was $1785, how many flashlights and how many sleeping bags did Dana and Mike order?

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absor201 absor201 · Answer 1 · 2020-01-30T10:52:17+01:00

Dana and Mike ordered 85 flashlights and 17 sleeping bags.

Step-by-step explanation:

Given,

Cost of one flashlight = $12

Cost of one sleeping bags = $45

Total spent = $1785

Let,

x be the number of flashlights.

y be the number of sleeping bags.

According to given statement;

12x+45y=1785 Eqn 1

x = 5y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex]12(5y)+45y=1785\\60y+45y=1785\\105y=1785\\[/tex]

Dividing both sides by 105

[tex]\frac{105y}{105}=\frac{1785}{105}\\y=17[/tex]

Putting y=17 in Eqn 2

[tex]x=5(17)\\x=85[/tex]

Dana and Mike ordered 85 flashlights and 17 sleeping bags.

Keywords: linear equation, substitution method

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